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Interplay between interference and Coulomb interaction in the ferromagnetic Anderson model with applied magnetic field

Pedersen, Jonas LU ; Bohr, Dan ; Wacker, Andreas LU orcid ; Novotny, Tomas ; Schmitteckert, Peter and Flensberg, Karsten (2009) In Physical Review B 79.
Abstract
We study the competition between interference due to multiple single-particle paths and Coulomb interaction in a simple model of an Anderson-type impurity with local-magnetic-field-induced level splitting coupled to ferromagnetic leads. The model along with its potential experimental relevance in the field of spintronics serves as a nontrivial benchmark system where various quantum-transport approaches can be tested and compared. We present results for the linear conductance obtained by a spin-dependent implementation of the density-matrix renormalization-group scheme which are compared with a mean-field solution as well as a seemingly more advanced Hubbard-I approximation. We explain why mean field yields nearly perfect results while the... (More)
We study the competition between interference due to multiple single-particle paths and Coulomb interaction in a simple model of an Anderson-type impurity with local-magnetic-field-induced level splitting coupled to ferromagnetic leads. The model along with its potential experimental relevance in the field of spintronics serves as a nontrivial benchmark system where various quantum-transport approaches can be tested and compared. We present results for the linear conductance obtained by a spin-dependent implementation of the density-matrix renormalization-group scheme which are compared with a mean-field solution as well as a seemingly more advanced Hubbard-I approximation. We explain why mean field yields nearly perfect results while the more sophisticated Hubbard-I approach fails even at a purely conceptual level since it breaks hermiticity of the related density matrix. Furthermore, we study finite bias transport through the impurity by the mean-field approach and recently developed higher-order density-matrix equations. We found that the mean-field solution fails to describe the plausible results of the higher-order density-matrix approach both quantitatively and qualitatively, as it does not capture some essential features of the current-voltage characteristics such as negative differential conductance. (Less)
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author
; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
79
article number
125403
publisher
American Physical Society
external identifiers
  • wos:000264769300084
  • scopus:63149113416
ISSN
1550-235X
DOI
10.1103/PhysRevB.79.125403
language
English
LU publication?
yes
id
96bf003d-9fd0-45f5-bd03-9904b8963fe5 (old id 1268473)
date added to LUP
2016-04-04 10:49:00
date last changed
2022-01-29 20:53:09
@article{96bf003d-9fd0-45f5-bd03-9904b8963fe5,
  abstract     = {{We study the competition between interference due to multiple single-particle paths and Coulomb interaction in a simple model of an Anderson-type impurity with local-magnetic-field-induced level splitting coupled to ferromagnetic leads. The model along with its potential experimental relevance in the field of spintronics serves as a nontrivial benchmark system where various quantum-transport approaches can be tested and compared. We present results for the linear conductance obtained by a spin-dependent implementation of the density-matrix renormalization-group scheme which are compared with a mean-field solution as well as a seemingly more advanced Hubbard-I approximation. We explain why mean field yields nearly perfect results while the more sophisticated Hubbard-I approach fails even at a purely conceptual level since it breaks hermiticity of the related density matrix. Furthermore, we study finite bias transport through the impurity by the mean-field approach and recently developed higher-order density-matrix equations. We found that the mean-field solution fails to describe the plausible results of the higher-order density-matrix approach both quantitatively and qualitatively, as it does not capture some essential features of the current-voltage characteristics such as negative differential conductance.}},
  author       = {{Pedersen, Jonas and Bohr, Dan and Wacker, Andreas and Novotny, Tomas and Schmitteckert, Peter and Flensberg, Karsten}},
  issn         = {{1550-235X}},
  language     = {{eng}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Interplay between interference and Coulomb interaction in the ferromagnetic Anderson model with applied magnetic field}},
  url          = {{https://lup.lub.lu.se/search/files/5627784/1268478.pdf}},
  doi          = {{10.1103/PhysRevB.79.125403}},
  volume       = {{79}},
  year         = {{2009}},
}